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Finding the Fourth Proportional to 4,737.50, 7,107.84 and 2,980.43

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Solution

The fourth proportional to 4,737.50, 7,107.84 and 2,980.43 is: 4,471.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.50 : 7,107.84 = 2,980.43 : x
  2. Step 2: Convert to fraction form
    4,737.50/7,107.84 = 2,980.43/x
  3. Step 3: Cross multiply
    4,737.50x = 7,107.84 × 2,980.43
  4. Step 4: Simplify right side
    4,737.50x = 21,184,384.03
  5. Step 5: Solve for x
    x = 21,184,384.03/4,737.50
  6. Step 6: Final answer
    x = 4,471.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.